Answer:
(a) P-value = 0.001
Conclusion: The average reflectometer reading for the new type of paint under consideration is greater than 20.
(b) P-value = 0.036
Conclusion: The average reflectometer reading for the new paint under consideration is 20
Step-by-step explanation:
The test is a one-tailed test because the alternate hypothesis is expressed using greater than.
(a) n = 16, t = 3.3, a = 0.05
Cumulative area of the test statistic t is 0.9995
P-value = 1 - 0.9995 = 0.0005 = 0.001 (to 3 decimal place)
Conclusion:
Reject H0 because the P-value 0.001 is less than the significance level 0.05.
(b) n = 8, t = 1.8, a = 0.01
Cumulative area of the test statistic t is 0.9641
P-value = 1 - 0.9641 = 0.0359 = 0.036 (to 3 decimal places)
Conclusion:
Fail to reject H0 because the P-value 0.036 is greater than the significance level 0.01
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).
A system of linear equations has one solution when the graphs intersect at a point...!
Answer:
B
filled up a slot even though i answered first in the comments lol
The fraction was greater than 1/2.
When you divide by a fraction, it is equal to multiplying by its reciprocal. The reciprocal of 1/2 is 2/1, or just 2. Therefore, dividing by 1/2 equals the same thing as when you multiply by 2.
A mixed number has a whole number and a fraction added together. So, the mixed number must be greater than 1.
1/2 is equal to 0.5, and 0.5 multiplied by 2 equals 1. A fraction less than 1/2 multiplied by 2 would equal a number less than 1, while a fraction greater than 1/2 would equal a number greater than 1.
Because a mixed number must be greater than 1, and a fraction greater than 1/2 multiplied by 2 would be greater than 1, the fraction that resulted in a mixed number after being multiplied by 2 must have been greater than 1/2.
We can think of factoring as the opposite of the distributive property. If we take ax+bx, we just factor to get x(a+b) - it's the same thing. If you think of it like that, it provides great insight and a thoughtful memory strategy. Hope this helps!
